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Simplifying 5.56x2 + -47x + 137 = 0 Reorder the terms: 137 + -47x + 5.56x2 = 0 Solving 137 + -47x + 5.56x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5.56 the coefficient of the squared term: Divide each side by '5.56'. 24.64028777 + -8.45323741x + x2 = 0 Move the constant term to the right: Add '-24.64028777' to each side of the equation. 24.64028777 + -8.45323741x + -24.64028777 + x2 = 0 + -24.64028777 Reorder the terms: 24.64028777 + -24.64028777 + -8.45323741x + x2 = 0 + -24.64028777 Combine like terms: 24.64028777 + -24.64028777 = 0.00000000 0.00000000 + -8.45323741x + x2 = 0 + -24.64028777 -8.45323741x + x2 = 0 + -24.64028777 Combine like terms: 0 + -24.64028777 = -24.64028777 -8.45323741x + x2 = -24.64028777 The x term is -8.45323741x. Take half its coefficient (-4.226618705). Square it (17.86430568) and add it to both sides. Add '17.86430568' to each side of the equation. -8.45323741x + 17.86430568 + x2 = -24.64028777 + 17.86430568 Reorder the terms: 17.86430568 + -8.45323741x + x2 = -24.64028777 + 17.86430568 Combine like terms: -24.64028777 + 17.86430568 = -6.77598209 17.86430568 + -8.45323741x + x2 = -6.77598209 Factor a perfect square on the left side: (x + -4.226618705)(x + -4.226618705) = -6.77598209 Can't calculate square root of the right side. The solution to this equation could not be determined.
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